Let's solve your inequality step-by-step.
<span><span><span>5x</span>+3</span>><span><span>4x</span>+7
</span></span>Step 1: Subtract 4x from both sides.
<span><span><span><span>5x</span>+3</span>−<span>4x</span></span>><span><span><span>4x</span>+7</span>−<span>4x
</span></span></span><span><span>x+3</span>>7
</span>Step 2: Subtract 3 from both sides.
<span><span><span>x+3</span>−3</span>><span>7−3
</span></span><span>x>4
</span>Answer:
<span>x><span>4</span></span>
9514 1404 393
Answer:
a) BE = 5; DE = 6; EF = 4
b) ∠EFC ≅ ∠DA.F ≅ ∠BDE or <em>b = e = f = i</em>
Step-by-step explanation:
Each short segment is the same length as the marked one it is parallel to.
E is the midpoint of BC, so BE = EC = 5.
ADEF is a parallelogram, so DE = A.F = 6.
D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...
EF = AD = 4
__
As we have noted, AB║EF and DE║A.F, so corresponding angles and alternate interior angles are congruent. <em>b = e = f = i</em>
Answer:
91.4 meters
Step-by-step explanation:
From the question:
1 yard = 0.914 meter
100 yards = x meters
x meter = 100 × 0.914 meters
x = 91.4 meters
Therefore, Nicholas sprinted 91.4 meters
Answer
its 500 and 8
Step-by-step explanation:
got it from khan academy
Answer:
The value of rate of which the base is changing 
= - 3 
Step-by-step explanation:
Area = 20 
height = 4 cm
we know that area of the triangle is given by
B = 10 cm
Rate of change of area is given by
![\frac{dA}{dT} = \frac{1}{2} [B\frac{dH}{dt} + H \frac{dB}{dt} ]](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7BdT%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5BB%5Cfrac%7BdH%7D%7Bdt%7D%20%2B%20H%20%5Cfrac%7BdB%7D%7Bdt%7D%20%5D)
4 = 0.5 [10 × 2 + 4 ]
= - 3
This is the value of rate of which the base is changing.
